Heat Transfer
Convection
GATE 2017
Hard
A fluid flows over a heated plate at Tw; bulk temperature T∞. Thermal boundary layer profile: T=Tw+(Tw−T∞)[½(y/δt)³−(3/2)(y/δt)]. The local heat transfer coefficient is
- Ak/(2δt)
- Bk/δt
- (3/2)(k/δt)
- D2(k/δt)
Explanation
q''=−k(∂T/∂y)|y=0=3k(Tw−T∞)/(2δt). h=q''/(Tw−T∞)=(3/2)(k/δt).
Source: GATE CH 2017 (2017)
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